Question: At a birthday party, a mother prepares a plate of cookies for 8 children. There are plenty of chocolate chip, peanut butter, and oatmeal cookies, but each child gets only 1 cookie.
a. How many different plates can be prepared?
b. How many different plates can be prepared if at least 1 of each kind of cookie is given out?
c. How many different plates can be prepared if no one likes oatmeal cookies?
d. How many different plates can be prepared if 2 children insist on getting peanut butter?
e. How many different plates can be prepared if the dog got into the kitchen and ate all the chocolate chip cookies except 2?